242293962240 has 480 divisors, whose sum is σ = 923099123232. Its totient is φ = 58730496000.

The previous prime is 242293962233. The next prime is 242293962263. The reversal of 242293962240 is 42269392242.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30662290 + ... + 30670190.

Almost surely, 2^242293962240 is an apocalyptic number.

242293962240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242293962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461549561616).

242293962240 is an abundant number, since it is smaller than the sum of its proper divisors (680805160992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242293962240 is an equidigital number, since it uses as much as digits as its factorization.

242293962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 242293962240 in words is "two hundred forty-two billion, two hundred ninety-three million, nine hundred sixty-two thousand, two hundred forty".